Elliptic Curve Over Special Ideal Ring | Zendy

Abdelhakim Chillali | Zendy

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Elliptic Curve Over Special Ideal Ring

Author(s) -

Abdelhakim Chillali

Publication year - 2013

Publication title -

international journal of open problems in computer science and mathematics

Language(s) - English

Resource type - Journals

eISSN - 2079-0376

pISSN - 1998-6262

DOI - 10.12816/0006175

Subject(s) - mathematics , discrete logarithm , logarithm , ideal (ethics) , ring (chemistry) , elliptic curve , elliptic curve point multiplication , cryptography , order (exchange) , algebra over a field , relation (database) , pure mathematics , discrete mathematics , mathematical analysis , algorithm , public key cryptography , computer science , encryption , law , finance , database , economics , operating system , chemistry , organic chemistry , political science

The goal of this article is to study elliptic curves over the ring Fq[ ], with Fq a nite eld of order q and with the relation 5 = 0. The motivation for this work came from search for new groups with intractable (DLP) discrete logarithm problem is therefore of great importance. The observation groups where the discrete logarithm problem (DLP) is believed to be intractable have proved to be inestimable building blocks for cryptographic applications.

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